On surfaces in the 3-dimensional Lorentz-Minkowski space

Abstract

Let M s be a surface in the 3-dimensional Lorentz-Minkowski space L 3 and denote by H its mean curvature vector field. This paper locally classifies those surfaces verifying the condition ∆H = λH , where λ is a real constant. The classification is done by proving that M s has zero mean curvature everywhere or it is isoparametric, i.e., its shape operator has constant minimal polynomial.